Yeah, but he's the one the most willing to take on the suit. He's been telling Bruce since Under the Hood that he's going to be Batman as he should be. And there's a scene somewhere (somewhen, I can't even remember if it was written post Jason's resurrection or not) where Bruce scolds him, along the lines of "If you want to be like me--" and Jason replies "precisely my life's goal".
I tend to think it's because he's written as having a personality more shaped by the time he became Robin. On the one hand he owes Bruce everything and the Robin he was was more Batman's than either Dick's or Tim's, on the other he already had a heavy history.
I have my doubts about Jason's self-awareness beyond "BRUCE DIDN'T LOVE ME".